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RUDN mathematicians have created a software package for solving nonlinear differential equations
RUDN mathematicians have created a software package for solving nonlinear differential equations
RUDN mathematicians have created a universal package of computer programs for the study and solution of complex nonlinear differential equations and their systems. The development will be useful for hydrodynamics, gas dynamics, mechanics, elementary particle physics, plasma physics and elasticity theory. The article was published in the journal Computer Physics Communications.

Many processes in physics are mathematically described by partial differential equations — for example, string vibrations or heat transfer from one part of a solid to another. RUDN mathematicians have created a package of tools for the analysis of such equations and their systems. Previously, triangular decomposition methods were used to solve such differential equations: a complex equation was sequentially divided into simpler parts. The authors took a different approach - the Thomas decomposition method. During the tests, he showed superiority over previously used methods.

RUDN mathematicians also gave examples of application of the software package in practice by solving the Navier-Stokes and Burgers equations for an incompressible fluid that underlies hydrodynamics 

The software of RUDN mathematicians will expand the base of existing algorithms and simplify the work of specialists in physics, physical chemistry and information technology. The created tool package will help to find solutions of differential equations and their systems faster and with greater accuracy compared to previously existing methods.
 

International scientific cooperation View all
03 Nov 2017
The main goal of the RUDN University and UNISDR Office for Northeast Asia and Global Education and Training Institute for Disaster Risk Reduction at Incheon (UNISDR ONEA-GETI) cooperation is to obtain knowledge about disaster risk reduction and international experience in this area for creating training courses for basic and additional professional education in RUDN
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30 Jan 2018
The conference on international arbitration, where law students from European universities simulate court proceedings and alternately defend the interests of the respondent and the orator.
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02 Apr
The Financial Support of RUDN Scientific Journals: Results Are Announced

The results of the contest launched to support the development of scientific journals of RUDN University are summed up. The purpose of the contest is to contribute to the improvement of the academic reputation of RUDN University both as a research center and a publisher of authoritative scientific journals.

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02 Apr
RUDN Tree Talkers Will Monitor the State of Trees in Moscow

In 2020, the Moscow City Government will begin to monitor urban trees using devices created by RUDN scientists. This was announced by the head of Moscow Department of Nature Management and Environmental Protection Anton Kulbachevsky during the 20th anniversary meeting of the Panel of the Department. The event was held on March 2, 2020. Elvira Dovletyarova, head of the Department of Landscape Design and Sustainable Ecosystems of the Agrarian and Technological Institute of RUDN University took the floor as a visiting expert.

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02 Apr
RUDN University Chemist Invented a "Line Production" Method of Synthesis of 28 Biologically Active Molecules

A chemist at RUDN University has invented a new method for the synthesis of a large group of complex poly-heterocyclic organic compounds, which draw interest as possible future medications. The researcher turned to a two-step reaction, in which he used affordable and cheap organic reagents and catalysts based on gold, which allowed him to synthesize as many as 28 new molecules. This approach will significantly expand the libraries of biologically active substances. The work was published in Organic & Biomolecular Chemistry.

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